<span>Answers:
(A) </span>Scale factor = 5/6 or 0.833
(B) Area ratio is 25:36
(C) Volume ratio is 125:216
(D) Volume of smaller pyramid = 9375m^3
<span>Explanation:
A) The formula for the scale factor for pyramids is:
Scale factor = Height of small pyramid/Height of large pyramid
</span>Scale factor <span>= 25/30
</span>Scale factor <span>= 5/6 or 0.833
B) </span><span> The ratio of the area of the base of the smaller pyramid to the larger pyramid = (25)^2/(30)^2 </span><span>
Hence area ratio is 25:36
C) </span><span>Ratio of the volume of the smaller pyramid to the larger = (25)^3/(30)^3
</span><span>
Therefore volume ratio is 125:216
D) Volume of smaller pyramid is 125/216 times the volume of the larger pyramid, from above,
Therefore volume of smaller pyramid=</span>125/216 * 16200 = 9375m^3
Answer:
Step-by-step explanation:
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Any odd number can be expressed by 2n+1.
For example,
2n+1=111
2n=110
n=110/2=55
means that 111 is 2n+1 for n=55
Thus if an odd number is 2a+1, the next few numbers are as follows:
2a+1, 2a+2, 2a+3, 2a+4, 2a+5
So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.
Back to our problem:
three consecutive odd numbers whose sum is 63 are:
(2n+1)+(2n+3)+(2n+5)=63
6n+9=63
6n=63-9=54
n=54/6=9
2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23
Answer: 19, 21, 23
